We are asked what is the ratio of u_{rms} to u_{mp} for a sample of O_{2}(g) at 300 K

${\mathbf{\mu}}_{\mathbf{rms}}\mathbf{}\mathbf{=}\mathbf{}\sqrt{\frac{\mathbf{3}\mathbf{RT}}{\mathbf{M}}}\phantom{\rule{0ex}{0ex}}{\mathbf{\mu}}_{\mathbf{mp}}\mathbf{}\mathbf{=}\mathbf{}\sqrt{\frac{\mathbf{2}\mathbf{RT}}{\mathbf{M}}}$

What is the ratio of u_{rms} to u_{mp} for a sample of O_{2}(g) at 300 K? **Will it be different for a different gas?**

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